Algebra 2 · Equations and Inequalities
Virginia SOL A2.EI.3
Virginia SOL A2.EI.3 is part of the Equations and Inequalities strand in Algebra 2 (Math). Under this Standards of Learning objective, students solve a system of equations in two variables containing a quadratic expression. Below is what A2.EI.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A2.EI.3 for the Virginia SOL test.
What SOL A2.EI.3 means
Solve a system of equations in two variables containing a quadratic expression.
Practice Algebra 2 SOL questions
Free Algebra 2 questions from official Virginia Department of Education released SOL tests — good practice while you work on A2.EI.3 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. What is the solution set for (k+64-8=-2)?
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Answer: A — −28
2. What is the solution set of the equation (x^2-2x+5=0)?
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Answer: H — 1−2i, 1+2i
3. What is the solution to (3^x-4=-5)?
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Answer: A — (x=-(1)/(2))
4. Which is the solution set for ((x+5)^2=0)?
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Answer: H — −5
Skills you’ll practice for A2.EI.3
- Create a linear-quadratic or quadratic-quadratic system of equations to model a contextual situation.
- Determine the number of solutions to a linear-quadratic and quadratic-quadratic system of equations in two variables.
- Solve a linear-quadratic and quadratic-quadratic system of equations algebraically and graphically.
- Verify possible solutions to linear-quadratic or quadratic-quadratic systems algebraically, graphically, and with technology.
Key concepts covered by A2.EI.3
- system of equations
- contextual modeling
- linear-quadratic
- quadratic-quadratic
- number of solutions
- algebraic solution
- graphical solution
- solution verification
- algebraic
- graphical
- technology
How to study and practice SOL A2.EI.3
Start with a quick diagnostic to see whether A2.EI.3 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.
Related Algebra 2 standards in Equations and Inequalities
- A2.EI.1 — Represent, solve, and interpret absolute value equations and inequalities in one variable.
- A2.EI.2 — Represent, solve, and interpret quadratic equations in one variable over the set of complex numbers and solve quadratic inequalities in one variable.
- A2.EI.4 — Represent, solve, and interpret equations containing rational algebraic expressions.
- A2.EI.5 — Represent, solve, and interpret equations containing radical expressions.
- A2.EI.6 — Represent, solve, and interpret polynomial equations.
Frequently asked questions about SOL A2.EI.3
What is Virginia SOL A2.EI.3?
SOL A2.EI.3 is a Algebra 2 Standard of Learning in the Equations and Inequalities strand. It expects students to solve a system of equations in two variables containing a quadratic expression.
What skills does SOL A2.EI.3 cover?
SOL A2.EI.3 is assessed on 4 skills: create a linear-quadratic or quadratic-quadratic system of equations to model a contextual situation; determine the number of solutions to a linear-quadratic and quadratic-quadratic system of equations in two variables; solve a linear-quadratic and quadratic-quadratic system of equations algebraically and graphically; verify possible solutions to linear-quadratic or quadratic-quadratic systems algebraically, graphically, and with technology.
What strand of Algebra 2 is SOL A2.EI.3 in?
SOL A2.EI.3 belongs to the Equations and Inequalities reporting strand of the Algebra 2 Virginia Standards of Learning.
How do I study and practice for SOL A2.EI.3?
Start with a diagnostic to see whether A2.EI.3 is already solid, then work the 4 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.